{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import configparser\n",
    "import time\n",
    "import math\n",
    "\n",
    "import numpy as np\n",
    "from PIL import Image\n",
    "from matplotlib import pyplot as plt\n",
    "%matplotlib inline\n",
    "import sklearn.linear_model\n",
    "\n",
    "from solml import cnn, load\n",
    "from solml.train import split, get_info"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "config = configparser.ConfigParser()\n",
    "config.read('../config.ini')\n",
    "roof_cache_dir = config['main']['roof_cache_dir']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Size of images"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "train_ids, val_ids, test_ids, train_labels, val_labels, test_labels = split.two_balanced_classes()\n",
    "idents = train_ids + val_ids + test_ids\n",
    "bounding_boxes = get_info.get_bounding_box(idents)\n",
    "images = load.load_data(idents, bounding_boxes, 5, 5, False) # download"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6000 images\n"
     ]
    }
   ],
   "source": [
    "N = len(idents)\n",
    "print(\"%d images\"%N)\n",
    "sizes = np.zeros((N, 2))\n",
    "for i, ident in enumerate(idents):\n",
    "    filename = roof_cache_dir + str(ident) + '.jpg'\n",
    "    image = Image.open(filename)\n",
    "    x, y = image.size\n",
    "    sizes[i, 0] = x\n",
    "    sizes[i, 1] = y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 87.58633333,  88.56233333])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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J39FlY292JdnljTx+UzKjR0QGtf7+RMmmCATlo1D4TDhmqTSDN/mjIi2MGBbB60cKOVZY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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f193d6a44e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot sizes of images\n",
    "plt.figure(figsize=(6, 6))\n",
    "plt.scatter(sizes[:, 0], sizes[:, 1], s=0.5)\n",
    "plt.axis('equal')\n",
    "plt.xlim([0,200])\n",
    "plt.ylim([0,200])\n",
    "plt.title('Taille des images')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "sizes.mean(axis=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Use the CNN features to train a classifier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "train_ids, val_ids, test_ids, train_labels, val_labels, test_labels = split.two_balanced_classes()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "bounding_boxes = get_info.get_bounding_box(train_ids)\n",
    "cnn_train = cnn.get_cnn_features_list(train_ids, bounding_boxes)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "bounding_boxes = get_info.get_bounding_box(val_ids)\n",
    "cnn_val = cnn.get_cnn_features_list(val_ids, bounding_boxes)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "bounding_boxes = get_info.get_bounding_box(test_ids)\n",
    "cnn_test = cnn.get_cnn_features_list(test_ids, bounding_boxes)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "LR took 0.111222 seconds.\n",
      "LR took 0.111134 seconds.\n",
      "LR took 0.128497 seconds.\n",
      "LR took 0.174408 seconds.\n",
      "LR took 0.198488 seconds.\n",
      "LR took 0.295850 seconds.\n",
      "LR took 0.549194 seconds.\n",
      "LR took 0.851691 seconds.\n",
      "LR took 1.352875 seconds.\n",
      "LR took 1.944742 seconds.\n",
      "LR took 2.353184 seconds.\n",
      "LR took 2.147620 seconds.\n",
      "LR took 1.974275 seconds.\n",
      "LR took 2.056191 seconds.\n",
      "LR took 2.328148 seconds.\n"
     ]
    }
   ],
   "source": [
    "n_C = 15\n",
    "C_list = np.logspace(-10, 2, n_C)\n",
    "errors = np.zeros(n_C)\n",
    "for i, C in enumerate(C_list):\n",
    "    model = sklearn.linear_model.LogisticRegression(penalty='l2', C=C)\n",
    "    t = time.time()\n",
    "    model.fit(cnn_train, train_labels)\n",
    "    print(\"LR took %f seconds.\"%(time.time()-t))\n",
    "    predictions = model.predict(cnn_val)\n",
    "    errors[i] = (val_labels!=predictions).sum()/len(val_labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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llQ/ZuH1X1OE451oZTxbuEz86fhjbd1Vy80uLow7FOdfKeLJwnxhS2JkzR/Xj328vY/mG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\n5+LyZOGccy4uTxbOOefi8mThnHMurv8PR8IF04qg+l4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f193b3e0d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(C_list, errors)\n",
    "plt.title(\"Taux d'erreur en fonction de la régularisation\")\n",
    "plt.ylabel(\"Taux d'erreur\")\n",
    "plt.xlabel(\"Inverse de la force de la régularisation\")\n",
    "plt.xscale('log')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "optimal C : 0.000100\n",
      "LR took 0.859890 seconds.\n"
     ]
    }
   ],
   "source": [
    "i_opt = np.argmin(errors)\n",
    "C_opt = C_list[i_opt] #0.000018#\n",
    "print('optimal C : %f'%C_opt)\n",
    "model = sklearn.linear_model.LogisticRegression(penalty='l2', C=C_opt)\n",
    "t = time.time()\n",
    "model.fit(cnn_train, train_labels)\n",
    "print(\"LR took %f seconds.\"%(time.time()-t))\n",
    "predictions = model.predict(cnn_test)\n",
    "err = (test_labels!=predictions).sum()/len(test_labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.087999999999999995"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "err"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "cnn_proba_val = model.predict_proba(cnn_val)[:,0]\n",
    "cnn_proba_test = model.predict_proba(cnn_test)[:,0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visualize some wrong predictions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "indexes_wrong = np.where(test_labels!=predictions)[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "indexes_wrong = np.where(test_labels!=predictions)[0]\n",
    "def show_wrong():\n",
    "    i = np.random.choice(indexes_wrong)\n",
    "    ident = test_ids[i]\n",
    "\n",
    "    image = np.array(Image.open(roof_cache_dir + str(ident) + '.jpg'))\n",
    "\n",
    "    plt.figure()\n",
    "    plt.imshow(image)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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T4pByDVcsijKpUkHFC9eScjVBE0kAG8mGsVnCKLWspsyZ2nvAKNUL0aX0iUS5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\nvVhtB6/36HTmlQLqkJlTeM75Jak7Yrg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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f193b3ae5c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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9hDBOTctVWbIzLL2RjFIFJwSOTAC5+L4oDapr30lD3tPpiVU+jWW5GAwGZhQb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\nMekHQy8m/WDoxaQfDL2Y/P9LK/OOpNmmkgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1938269128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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+9NzRY+CIG5e3cG97NpA9tWOKx3Z+qZgcIeyu4hNI6Xu0bsxkLzTRC9QVYhjL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\noQ8ohUIxsfj/AWlGEvYmbjS5AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1938221438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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daXcnqen4et/DDHfS1TNuXzmdE2d2qYRAMaNeatSieEmXLyFh6ViqhcqzHBvS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\neu8onWdCMaWBxHksSImJM5D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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f193817ec18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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SFbYzhoSdE3peBVPluiyOatM6HUJ4EFNwC8Dp1I4i8lkReV5Ent/c3k3t5nA4HKXwug3x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\nmnXTMlh+MCLXMivYu31TpouoK4+AZQ0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T9jYOJuo5HFz7Fye7fRHAL+cfYfYhIucB/G0A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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f193814f400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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v+36qowsODylPAu1+jqVAbFGUiM3jQDuvTGfzclWA0gPanb0szTxue9DfyTu5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\n22qFzimGbAURa9cpZeQ9SU0bZRL0ZJt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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1938128fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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dhsIo9RxczaC5kZXisJUVx7zDrfM2brtwA4cd9rrOOVTS+x1kStWMjONF/lAy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\n+v43PX7ena//yjC2tuZ+N5b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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f193807bb70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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McwOlaIjtdcksapboXDMCMHpIZvMBk/mO11JKYWs9MT9sDxjMoulm3Ycp57uckMytR2yz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\nr/A1XLdLMvidW3fjmPW9cNxjkq7ruTbN0s/OJoW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ckMcfsxpquAw7/P4JNY9Jf3xzyMhg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\nNQD/GsA/9N6f2M982F4/MmF659zfAPDUe/+FD3suLyBNAH8ZwM97778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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f19380c2048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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EhSRHdn8FkmtRSDSdJpmTrqrTdAlK1ar9uYzuV4UsUUvSrG6iAqfbLalytKEp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\nyIxLHpGXUQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f19207f6ac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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0VdKSWEqRVy+cBwCcP3++rOMySGtz+qGHyjLHLu5T/OVxLnYmSThWLlMtjsrl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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1920740908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(10):\n",
    "    show_wrong()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "indexes_right = np.where(test_labels==predictions)[0]\n",
    "def show_right():\n",
    "    i = np.random.choice(indexes_right)\n",
    "    ident = test_ids[i]\n",
    "\n",
    "    image = np.array(Image.open(roof_cache_dir + str(ident) + '.jpg'))\n",
    "\n",
    "    plt.figure()\n",
    "    plt.imshow(image)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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IESxYgBxQKKFEDYsLoS6uicxFmytJXZtJn4SxOkngOlxCF1pHHFpSbKyaY8y7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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f19382fc470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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soZ3bZ69VysqiSOJ8p+Onzrko86HIY5qHLXqIJbQGi0QOUmPu1Nu9W9jx9ybA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\nv+wxEg9+ZAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f193b53d0b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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qYh9t7xRKBH1ApUSK4hlYoD/v03dFZH3EsYxGW8UVqjA3K8pzk0x2gQGAYkJz\nVGqt8nn46yrdON1lt3WuT0X8eyODQSEdNWicWteJxwkAy9DE7MGDB3jt9c8A8KnNSuX6oE7cG9sN\nhQzIZnkuB7etPc4UnosPk4i+AOD7AfwmgNeDMAWA9+BN9mshbz4A0exd+jBLcyOTe3WIiuUamNIk\nC3UPRhQRhapZ4OTE3/zlcplunqR41PUCNkRlG53rHCpFWCwWsOE80tyWtCBjDLQokDBVoOOTgpyE\nhbzcRu4ORGS5rMl9iuymKhcCiXBEhX+Plaj207YpGu6cS0KVKHeAZOcA51KOdOEGoDx3yowqg6bJ\nRYgH0xXmthSy8ftquCgyqqLvFPD0p+gG6Dcd+nUW3oMQxIOsHyASDLp1VxQWyX7fsnUEkqvCU7h0\nWqRKBUDCDXFusQ+sx5919u+zYBAMgxEZVU1OPAjRd1mDYO2iSS4XSUrncEAu3pEWh6v0If8ORh/s\nkByu1dCmQjCGOwxKFJbRVfIfWTBWT/xYeOhRB9pZBYVm0Yr5gLTIEGU632q1QtPk65IFyXfFMzvW\niOgEwP8C4K8y85n8jf1IJkdDRF8ioq8Q0Vcit2/GjBkzDhnPpGESUQ0vLP8BM//j8PX7RPQGM79L\nRG8A+GBqX2b+MoAvA8Bbb73Fo9+mdpgkKjvnsFqtcHl5AQA4O8smFTNP5ugyl3USN5sNHj3ycanL\ns3M8uXMXALBoarS115bunRwnDXNzeeF5gGH/o6OjFHGXK5fMK99H7R9f4y7Y19w31zSn2vb9+DxF\nBD1+B8AFTl5qi+gPAEOUVminCByrnJscPSZks1GTSia9A8HBJxxMjS1HjBnU5qBTVVWoAqev4eNi\nv/xssoZ3xCYFnQbTleamFdrr0CdN2GuYmW/aCa6pzPkfuqzV+hRWr6EOm64IYMV+66uLS89ACFXm\nZTRfuiSstVgity/xfMmwnWGY1FGyxBRxO2qYKpF5VdKeS/dYWY+TErE1nD9GVYlHARykYyUrEcuy\njQVynrp3d4TxKgUbGCrd5UWqVWuOT7Fsc3DJcPZ9tG0r+MY9UjqvcNdZN31/pvAsUXIC8EsAfoeZ\n/zvx0z8B8NMA/lb499d2ONYoMn41Si5f1KqqkqnW9xs8fvwYDx/67JKHDx9m86qqUDWZxj2mK8Ub\nKTXcJw8fJSG5aGq8/pr3k3z7F741sTv++A+/hm984xvowv5vvPEGvvjFLwIAXnvttYK+wO6qoLkN\n7OvDHJzAmtKRAAAgAElEQVSDpPSm/TlP1iLHehi2+pNZ0F1AyO0upC/axXqGAc7BcS4VF6El6VpR\nIpErpQCHJDDLxZNTAVwCUu4xORMybfLLO5Uz7ZxOhVn0YKArT6Op+SQcU7iLxCIQWROSmeGGviT+\nC5+mYyrcAJFiVSQBdNnnavsBfd+hE+T/2D52s1ll90Dfwwj3gCw3OE4quLmbJMDsMIR2yqtVB3Xk\nxQRDZvrk568UJ7OflM/UiSY2EQE6FjlR4JjRxnksjTGJp6FCUY7UgtihyNaLC8HmcoWLR55itj69\ng9PjJXRw1yjO16aJigUhjtoZI2prvhgf5g8D+CkA/5KI/kX47r+EF5T/kIh+BsDXAfzELgeT/sWp\nTB/5gKuq8gn6AIbVgIcPH+LDDz8EAFxenJeFhkWKVaz8rHWFxWKR2sS2beaEffjhh4lKVGuFWodb\n9IVvTS/Yo0eP8NWvfhXvfOCV5+/8zu9MmuzJyUlRuSZWhQb2F5rPic45iaqpJ8dTaovCBxm6rORM\nGSo0DAmLXLQ5PT9FUKIYB5NLvkdd6RToYc6V3MGuKBRtrUXlRKFkiGdb1KnM9BLJN5SXS/ILNqL3\ntaiKHtIkY0BRFoBRCkngQeUCDlXdbs206l1epGUwiFjMDWcEn9DBDgO6zmusQ5d9rUPXo+vD98MA\nNWTf7GazSVWX1ut1UYwlnl8K1dUqU7FippcUuJYv0nicE5qgbBCnInGSgzJSClQAsNoBdJW7e+RE\nmnLtNcVYh9ZnwYUDOaALdT9p0+E8pEJe3ruH4e69pOhAUap9a6wpNOm8SNqnsvqeJUr+f6H0Akv8\n6NMed8aMGTMOFQed6bMteltVVTJNnHO4f/8+mpB//YdfW+PRI2+eN02TSK9VVcEks4Nxv2lw9673\nVb766qu4f/8+AOBkeZRMRE3AveDPtNam5P633noLVVXhcx/78xwdHaXV8uLiIuXheu0GaZzZNJha\nZ6a+210j3Vd73Xd1lW6Gm85dTfnMGIC1SZMEkEOObPPVU7lP/LPS8LnHkrid2jsyZI5L9rwwnJW1\nOWUxk/IoqQ1C1ZRbMxDbdDi4VHZMWYD01deH855X4EQxEYVWfM57FvnnzgCOcZwmkdCqR11HXWjh\nHN0Dkqw/1eb2yZMnRXk/mfMva7Vaa4GgrXZdl9xXl5eXhYYbC7k45/320Q/r6yyE3ywj5/VXqbUF\nUZVyv02/8Ykg0fUiLBkWt7Y9XqIL2U3vvP1uEUdodA0b7pOFgrWRoO5S9F+65NyL8GHeJqZMKIlB\nFJy9c8dzsBbBf/HhB+/h448zv4oFJzIfj9N3gBcG0aT+oR/6oZR1Yoc+9T4+XS7Q1P7zK/fu4o03\n3sCT0K+HOfd1Pjk5yRwwa5N74XmlS34aoCYE5q50jHHBiomjX/1KvklXMPqerl8omJbX7C/oY1eO\nIwc+/azNlmwv79nN9Ll8GA3o7DdltohhM1kFCQDq+k7Yxveuir8tRpSviFfe/Hz6WxYyidlQMr2U\nzrNJvwmCWRacMaKqlbWh7mrwga7X60SPku6BzWaVq3JZLnm0NlOujLNJ4A7WgENqpBkcNr3//nLd\n4fj4FEdLfw8++7nX8eDBqwCAJ2crWJvvuwwWR+G9j/IwF9+YMWPGjB1xMBrmVPRtG9brNSqKLQ00\nmqZB32cSeZEzHpQdrTUYMTDgV5poIjdNk8zoqqpSoMdqlbTNzWYDM8Toq89f/9y9ewBCLm4KKJWN\n46XD+ZCI67cJjQkN83mRBHjblN2iJYw1wRtcF+UT2q557FMS7KZ9nKheDxJaDClglOnjJrK/vFYa\nCeEognPAtHVTzFm0yUEwpY2eWv+rzKJzbIRJ6wrzdrPZiPqsmyKAtN54bVOa/ZUIMm26VZFIsO66\n1Hl13a0KbfDRmY+SX64uMAwWD0PUfHl0gpNj/24umrZgCURDgF0O9N00JyQOUGCyGL+Iko8oRpGS\nEn0fkmIho+lmYuKMS/83TZNM8idPnqQy+JUqJ1qaTMFPZMI5mXNPZMnD9EVyx9e3D/bxM+4Zgd9z\nOPvIh+cmHPdCYniWX7MaCc14JdODvGpqF7+Wh97VDRDPzHryewlp8nGqkZrIMILvWApCmVkj/wVQ\ndGjMRTlIZMOUKa/j3lkc6ztrQlVfLdQyTpM8ua/g+GqtUrmd9LNWtiuEqhGUn2HIraq9kM3v3Pm5\nz/q5uDwrqFldZ/DkiY/s3717UvpwxbhkT6xdMZvkM2bMmLEjDlLDvEmf0VqnFhUhJlMk/6c6eU0D\nDqRZrXXKPogd+2SVZ1kUQGqiMXq6qHTKXXVD76NsghAry/1H+CwNI471kqxPk2W/doe75vEraZJP\naoPCvL0ynmu0x3AsQa2f3lqq5nztlgBcYYZXbvu2eTupGXIYlwgcCl5y7OhJRKBU1Ty8SyLDLL1Z\nnGkHpKY1VRAVhVkIgNFBKxWmA1HWUME6sQfYWrSCNVL2AhfXK7TNVhGWImvJHz+PP/Jd+2EjtMKc\n6cTG4nJ1gbfffhuA50nbWAOVTdYqR26EPK4XXHzjeeMmFdkY45PyARCpK35L+bCqheiSh1wIY7FY\npP4mdV2nSdO2bSIOD8OQPqPSQBuOFW52FI4xnSyeU5odRNlUfxqi7G1hX7N5H5Pc0X4Ccx9/oCVh\n1m5lHmw7/80CU1rqkfZSCvAJ+hIofV9eCxVZQrXddn4uzxHGYtkVLkxHIp1V0O/AnGg0Vy5rS6rr\nuN/TVMpr/KxDrc3yvZQKgE0Ff5kAQxY2CDxL2X3mxxEldm7Fa3QFju8zc2h77DfTzNBtyAhyJrFW\nnOlFgorCxfk5HgUz/NGTC9jYGnjEJiiRlaxd8ZKoPDNmzJjx7DgIDbNcBW42yZ1zuShDcN5Gp3HX\n5RJeTdNAC9NDRrJlaqQnuPvtlstlrrLeK5g+VmzPJkQVyl9FJ7N0A1RVVaxY0tQ/JA1z3yDvXhrm\nDtPqOrP7uvWe4rFJJBlPjGDb3tNfczqWmji7ijnvWzRNQGqW259x5aavzFE+hzyW7zLAcKlWJiXi\nPlMZCLW2vLabouQpjTCecxQsknN4QAi0gFNwyZfeC64C6JRGy0Swwzrn7wPZGizexexGM1SBYuIA\nhbTGSDYHQ4dAU0stdCC0m6EG2/yer9cd+lDirtsMUBQ6apJKFfCZciNDJgUjRc6OOAiBuS8Wi0Xy\nYTo2V1rLRiHVti1sUUPT709EhQ9Ttvns+0xWr6oqVdwhQaZldlcKCsuIu8zXle1vXxbyuttFvPLN\npvjk7+keyojzeMZv8VnudPtv6u8iTfIo2aai8Ljym97yYkqznSkXeaqUj2anPHvhz8xZSOHYW1qU\nbDM3U0uOLSiKqwQp4VwuCM2c62z6IUXhqbwrCrH3TpULo6jslhqGIXWGVENueauUAttMnCcAbajF\nqitdFDapU5vhGkQaiSVECnUdCnGI2prjameSxL4rZpN8xowZM3bEQWiYRAoch+I4lfSqqCoc205E\n4hCj0k0N5yyG0OzMVQAt/bFWroPp/P51XUPFCHalgUqBdfQs5858qs3534oJbQxgGAUeRF1CY9GJ\nqHtaUSnnjFe62eKMPwDTfE9td58Ykb4h/fBZTspY7XWIfbX6667TK1dCx0gb62uU16z5rep978v4\nqEKLHA2UtmiS28d1k3ovPq5Dz/Hr90iotTD3HSOnA9h0BRpIFBdV5QpTgIXVDloLjmfYf2373GnT\nDqiboNVqh3W/DvUugbausAiV1euWsAk570wu9X833QAVNNd2mTuo3oSDEJiANG9QPqxUgqv0C8oX\nQWYgyNL/SuX6ewCKzB7ZvF62jDXGxPJ93n8SPmuxP6EGK43V+mp20Zio+7KY4TO+eXHbdLgrEfqC\n5VSWeKxiqxTBTDHGFHnq0t2wjdYECB/qDe4JiYMRmPtCZhnI/iyyKrWvEJTbdx6FHj53797F6elp\nWehXOLudqF6qcJWvVhTCRanFSIrGLCxnfDNgX4H5LJWzpt6Z4vzh0LKDQiyaHGWAUipl7jGvrvgu\nt51nF8w+zBkzZszYEZ8qDVOavck8Dir7tlUqdhk8uXOaSj699upncOfOnRQl11qjCdqmL7wRiLYW\nhXvAJXcqF2OoqirV2YvjA666DmbM+DRibz/wnhqmdF1NmeTyswlapFa5SrsJLZvjtk3TpKQUJzTM\nsekft9/GMJjCwQjMXCR0+mZLruYwDMmcVqOsEpmCqMRNbds2tdU9uXOKtm2LFgvxeERUpJJFrpvy\n/RXCGEuhHX2iQJlpJOGce3lSI2d8U+G2+1Htg/huafGeR7dcUppG45W+SilDJEd6V8xv8IwZM2bs\niIPRMCNkzve2lW38/bhUk9QwYwRs03fYhGygFBWTJbHCZzeY3MXQWVCs7gEqA03WgpHJtkVJN3kt\ns0k+41OOF9nx1Ft406bzOHgjE0Q2m1x3U4HS56rmQsOUxPnoRtvn+p5ZYJKvLvEVAO8w848R0RcB\n/AqAVwD8FoCfYub+umOE4wC43iSPkBEy51zo8ZwpBTJKPYT0qfPzc1Q6tpG4A7a5v4cmldukKpHC\n6GKvRO+/jFVPNn2H9WYNCs2bxya4jMTNAnPGjOuhipTJq+9/VkLK2EVUfLquQ9/3InaghX+yTkyZ\nqoKgHBqkbkp7VH95Hib5XwHwO+Lvvw3g7zDztwN4BOBnnsM5ZsyYMeMTxzNpmET0FoB/G8B/A+Cv\nkRfrfxbAT4ZNfhnA3wTwi89ynghZST2uNIMrG9cPw+C7+wWYsOpcrFYpIT9WcI6BGq11yiDQpEAh\nU4WL4gYWQ8gkWK/XWK1WiPULCoezwLiS9YwZn0bcdpR8TE7HyCSXn5Uwz60tTe0U4G3a1HJGVyax\nYaQZfx2h/To8q0n+dwH8FwBOw9+vAHjMnNoGvg3gzV0OVES4plLiRJRca110vJPFN5xzqEJaVNu2\nUIsqfd+EFKijoyMsFotcZINU7uMjmt2T8IeSAihUhOnNgMv1CndrT12QZf0lcf2QoosvEi/Ldd+2\nIDkUPAtNCBgV8piou3lF2dhKK1Kpl9fQ92gDZbCqqqKPUFVVqR1wu+gKBkwktx8dHT3V83hqk5yI\nfgzAB8z8W0+5/5eI6CtE9JWLy4unHcaMGTNmvDA8i4b5wwD+HSL68wAWAO4A+AUA94ioClrmWwDe\nmdqZmb8M4MsA8PnPf8teon68Sk2lPsXfYrl9prI2pQwcjetXqlSqSq6UDBZV2Y+Pj4uVS6Zjbhvz\nbJbPmPF8IN8lY8yoT3pOlSYyhRlubezMMN2v/SY8tcBk5p8H8PNh8D8C4D9n5n+PiP5nAH8BPlL+\n0wB+7WnPsQ1js3ecvy1pCBax+OrV4hvJv8i52osmlWr+KZI565l43iwXUHWFCt43opSaFJjbTJEZ\nM2Y8HWQWXXynIksmRs1lMR3mrjD9p1sDf7I9fX4WwK8Q0X8N4P8B8EvP+wRSq4wczG0CM21HBF1n\n32bTNMkfEveLSBomlX4W2fenXSxAJvM9JQ90SlDOAnPGjGdHfI+UCBR1nW/TGxWacSWym/jcL5SH\nGU74GwB+I3z+GoAffB7HnTFjxoxDwsFl+uyLqH7n9pw5Yj2O1Mm8ctnHB8haJRyn4rqyqIfXHMO2\nwQdKpK5sNz7vdd/NmDFjP8T3TIsurF3XwTmXqEQnJyeowrvd9zlPXFp/T/s+fioF5lTxYFkEVPYH\ngbhB6fu6Kvr4aPEbW5epAyNVXSYESE6YHNPYJTAe04wZM54eMu3ZDf6dj/2yjo6PAQCnp6e+KwMA\noB35KqPrDMj60ovN9JkxY8aMlwKfeg3TOec70Il8bmmST32uqqqoVSm1TztqhZqrrOvQtc9HzI2z\nUJy70U2p+vJ7GUmfMWPG00FajzGLL1KIYg3M5XKJbu37+FRVVQRkJT6JTJ9PBGOzV1IEQNPm8bbP\n8phAKPoromf5e0omubUW1rmUgjkWzKXfcxaYM2Y8L0y9ZzLDJ/7bb3nXpyhGe53/6Yc+Y8aMGS8X\nDkLDJAaqITQ0Ukgtb12lU/tNpwD0fkWoFOAGX86Nux4VU1pdOrZYB1VQaQ1QbKFJWCzvAgBOTu9C\nVRouttmtFPpQgc4XVo9N0LKZz7Kyu9JQrFK3XF8IYKqdLp6KHBsxR9afHS8L//WQ8trHY9l2rmTx\njVpRa7G5Gu26bHx23eXlZXo97eDAjgDlZcDZao0+1LQlWwMc6kQYBw7vYdvW2GxW4fth52s7CIEJ\nSDMaRYuIIqMn3nitAOdvyDAMWPddKr5hNKDV1e6O0k8Z0yJlxC095JfkBZsx49MIKXwjM6bve1hr\nk1KyXq9xdnYGAFgom6oVQVFqkS5bxtg9FpvZJJ8xY8aMHXEgGiaBtCijFiS+FdqmDKxordD3/pd+\nGHzF5aBWM2W+IykFDjXzVFOlYhmxnqZ0IMsiG5Mj5JKHOWPGjBcP6fqK0fGu63zn16BJGmNwfn4O\nAOCG0vd1XcPaYH4TUqo08yebS74/RCUhVl5QeuQccQagos9R5QiZMQbGCR+EVtkHSoANvgytdSEw\nx7SilIuOTGMdi07i6e9nzJjxYiApQrI60WKxSF1hV6tVcr/1tk/yQCkCB3cdK6AOrSv2EZizST5j\nxowZO+IgNExmhuEYTQYM+VXEIudoay6ri8TtLVlvrsfUQ5GC6CuVxK812tZXaK61T4tUojuliy0q\ndkiToumi8DNmzLhlSKtQaph1XScLUimV8sqtsZk/zQ4mcjZBsMmq3d3XdhACE+DkW3AKqYalBRem\nsgoXZsGpg6O11m8XI+MaiYtg2SBeYlPVWAaB2TRNKJ4hyK2xLYWinYQhzRJzxowXjkgflEWCh2GA\nUgrrkN3TdV3yW7o6d/jq+lxkGKRTa22zhRI4ef7ncA3PBTnoQ9BBZDk4RPFVQaFJPcIdbEyLMiY0\nQfIClFgL6gEVRYPjqtO2LWqdG6mpLbQCKRTnoM+MGZ88ZBEbKTCJCBcXvtVN3/cpTbJuFsnvebky\nyTKtqBo1XtsNsw9zxowZM3bEYWiYlDN1WKukyckMgIY0mmB2u8EUXSOHoUskVsVNcejYGbKu66Sm\nR1pRrLiulPKZAnE4W6Lhc5R8xoxPFlEblG0oYjcE2Tn26OgIANAeqdRBEij7esViOqR2L714EAKT\n4En4AHC5usRHjx8BAHprcBxq3C2aCtz7G7RsWlwG9bvbrAonb9U0qKrgzNUKJtTMWwYzHICPLAGF\n0K1FMY8oOrf15PHUo/3t8xeRvnZTe9OnTYmLk3JcKWp8rq33LOw7bjgX/5WTPZpd4+211gdVwOSQ\n0i4PaSy3iWiGW2uTCc7MqOs63YOmadLnvu/TPr51RZynuVD4PrVqZ5N8xowZM3bEQWiYQF45zs7O\n8OEHHwAALjZrHB17zXGha3DQFrXzmiXgSaqVUmjrsEoQYFMlZoumOvVfi1zySClKFddBiIa2DPTI\n1eRw9JrDh1yxpxrSAV6rTG4Y5vRZaphAJirHZndzQZKXG+OyjvEzgCKZJbXZtQOGri9+j4gUwnGB\nj+vwTAKTiO4B+O8BfC+8xPnLAH4PwK8C+AKAPwLwE8z86KZj2T4IzMdP8P777/vPF0+Sqb2smlSS\nnqxJF+ucA1uTKEfsOJnccA669t9XVZVeynHxDf8QxMucg+z5OzHWWXhej9TZb9QKNfZeAcrMKyJK\nglFmYEnqVzzuLDBfbsT55HuM5z5eMtW5qB7mTBENr2LqNLnErLH2xWX6/AKA/5WZvxvA9wH4HQA/\nB+DXmfk7APx6+HvGjBkzPvV4ag2TiO4C+NcB/CUAYOYeQE9EPw7gR8Jmvwzffvdnrz0WkIpkWGMw\nbDwBdbNaJ3Ip1RY8eNW6YgoMdcCxARsLG9RCVSnosIq0tU7mnYySp0wfGajYQy1XmLXM65AYC0ol\n0+jJkyd48uRJ+k1rfUXjB1DkBC8Wi7IS/igINOPlQ7RQZONDIkJd12k+WZtrUGhC6iCpqfbBHgDs\nTNIsrTPYFc9ikn8RwIcA/gci+j4AvwXgrwB4nZnfDdu8B+D1XQ7WhMj2UdvgKJBO1+t1ov4QuyTU\n2Dpw+oMB5uyPAIFikQ6tUAWzb9G0WNReYI7b8BJRkoC7ZvDM0bLdEAXm5eUlLi4uCoGZOnUKH6a1\nNqWwtm17RWBuK9Q84+WC9FNGV410/8TPbeWEi4igKj+fDGfXXXT17YJnee8rAH8GwC8y8/cDuMTI\n/GY/0kkRRERfIqKvENFXLi4vnmEYM2bMmPFi8Cwa5tsA3mbm3wx//yN4gfk+Eb3BzO8S0RsAPpja\nmZm/DODLAPCtn/8WXjReqzg9OcHJkedeXlxcJMcsWwaCCt1tOrDOBFRFBBU0VFWp1PlxsAOO7/jj\nLhaLZJIrpUCiO6QCTZrYUtuc0yJ3R9QWx7xNaYbXdZ1+22w2k9XvxwGf2RyfUSasZE5m/A7wlmnS\nPqscKKybCgqBKePyfFJ7cKqfWmAy83tE9CdE9F3M/HsAfhTAb4f/fhrA3wr//tpNxyLkjJyjdoFl\nEJ4KBBPqWVpRIANwiCXsjHNwigpaSjTaBjMU5p2Myu77As655LtDRisl9aOqqrRotW1bRC9lzr8U\nuBHxOHOU/OVGFI7DMORCGsiLNJDnH3A1ESIJRyLo2KdL7W5oPysP8z8G8A+IqAHwNQD/PryZ/w+J\n6GcAfB3ATzzjOWbMmDHjIPBMApOZ/wWAH5j46Uf3PE76LCOmQNYsKqXTinB0dAwb1O+u6zD0BpZi\nb2IFrrKGE9MhY/64POds4t0OZL9oWbNwHLBJz1Y8mzE/VmqozLxXGtuMbz7ICkVxbiil0DRNwbSI\nn1sMmSlTVahDgoux2VTfVq1sCoeR6UNIifCDs9ChdLxWDQbn2+nef+V1fNf3/CkA3myPeaQPP/wA\ni6rGk48/BgA4M+D80UMAwJ16gUXnj/tKtUQT2vS68zXa5Sl0MOu7zQZt689pnEnEdR6FzGnk6OSJ\neNbYbye/v808aHWDWTH2C+47luv2Gy8+0ey21ia/UiSuSx9mRCwAG/eVwlNmdjxNhPyQ2s/ui33G\n/iLa5spzjOsEyM/7jsXIurdEqFUu0WhsZsA0dY3lqS+qcXH2++DQ1+vO8g7IEJatZ9cs7y+x2Xi5\noWkjLsTBDnEBzm5Auwen8CAEJjMn/6DkU5FWyQf56uufwbd927f5z6++imHTAQAeffQhjhYLnD/0\nyUSr8zP8we//LgCfNSQxFUxI5xcPjPIO5f5Xxn312Nfh0+x/iy/CVHGN8XdSqMZnGX2WcdvYGhXw\nQlhqDvGztDZk1tCMby6Mhey4vXZ6D4nQdf69lxomdOkHlxaLHXL73cEYDIHLbWwPa/2xHO++EM90\nwhkzZszYEQeiYSJ1dqvqGqrORRk4rC6nd+/gzc+/BQB488030VTehLt88hinyyNszr2J/tGH7+P8\nidc2z8/Pi7zkqO3ErpH5/DzylaVfRgMdj3xa23pemtBtmmT7arv7bC9N52ghnJycoK7rIoIeIfP8\n5f2LJeXi9rOW+c0J+VyZGQyeNPmJKLl4rM2ao2VvoayUN78XrinmkKQdpRqanOdWXWX30E04CIEJ\niJtS6dTQzIGx6b3avFqtcLHyFYq01rj/ygMAwOnxEqfLY5jos6gIi2Pv54BWBY0lFvJomibUxguZ\nJuLFtNaKZuilv+5KFtCEELnuhb7Jz/gsuG2BOd7nOvN87IwHgDt37sBaWwjMOHllMEe6ZIDSZzoX\n3/jmxHUusrHbS7puYruJBl5WJH85kXjXCC5WItMKOog8crlwMI2DE9dgNslnzJgxY0cchoZJwBDb\n7IKhqhAlrSp0xq8oHz1+hHfe/QYA4Av/yhdRBc2lqTSWiyUGlTVUCqvL0fFxKlV/dHSUPi8Wi8I8\nlHnN1trdgz7x3x21u6eNTD/vbW8bkig8HtdUNfXYxAq4OdPnkK5zxouB6B6Tot9d32dLpq7C+3yV\nmmZNnjPeFRctScC6mCm0+3t5EAKTARgXMnqcg25CwYyjJarwuRt6nF2cAwAu1ytYjpkfABTBBPG1\nWq+xGrwZ3yzaVPnm+Pg4dZJr26aIwDqhwtd1LephXm+SD2Y6++R5+dkOyV835ZudGp80r6faUUwJ\nRmPMjYJwG11rxqcfxTxhgGSfcCq3c8I3GffSWoMqDTt4GSLrrrK5THOvqlRuUaEVCNls3xWzST5j\nxowZO+IgNEwgm6vOuWRS66ZGHWtY1nXSPM/Pz3Gx8p3gGq2waNq0/8V6lbrEOULSKmXxjVjJeyoS\np7UWGubIJL8SNC8j7VOfr/vuJuyzz21ro1OZUduuc5ydIyF/G2ud8fM2vuy2c874dMM5l4rhjC0J\nGTGXc0syMeqmwXK5REfexO6NQR/LCAo3mHOChI/pY92EwxGYQcG28gaREGRNnaLcl5s11mtfZJjb\nGkxIfk/nHAabC4tKKtG2boQS+9CKxqmW+3zeBfv4PPc99tNuv8tiIKPfUyY4UApDGRXfZnbPqazf\nvCBX5syV8yR/b8Hpvd/0XUp2OTo6wv0HD2CtP8p6vU4Ed9ddggMx3bGBMZ643nc91qFQedetdx7r\nbJLPmDFjxo44DA2TUDhmq7ZJP8V+1dbaZJ7fuXMH77zzDgDg5HiJo7pFE/Z/fPYkaSzGmEScPj09\nzacTaVQAsGhbDCFQBGBnDdMKTVYeW36W5mW8FhnFG0P+FjW1bZgKqox/32ZGP88c622R8HGK27Zj\njJMIPgk8TY79vrza22RJ7It9jn3TuMdW1L7jrqqqSJMt5r2oqWiMSXnfXddl85p8YsuDB68C8C47\nF8pCcr/Cen2Zjv3ue15u/O7v/g4eP/E1J05Pj3cf615Xdltg+SKrgu4jMz1krxgtKATOOXSB0LrZ\nbIpeH9IMl5Bm+dO+pNf52uJx5fhlPU55Xlf4WdzW8VwnjKeE67O4A8a4zcIhtykk9xVqh1LwYt/j\nvzF8s58AACAASURBVIjEhdvC1NjT3B49vxif6MyQgtusyvq2VVUBsV9UQzi545Wli4szDG+HFtzG\n4DwU8Dm/PNt5rLNJPmPGjBk74jA0TAgNU/nyTkCZ822tRR8cucvlMjU0Oz7y0e8urDx2yJy+ZbtI\nWp3UVsca3tNqCtu0l101uylzlYq0rnLbcdVxqSVs22fb37epYexr9t+mprbL/X9ROCSt7pAwNS8z\ng0KnzrHOuURclxabUgqOkOpOkOBYD6s1joJbbtVtkkn/vX/6T+PPtP8qAMDaDn/3l/6nncZ6cAJT\nich2U9WFPy/eLKVUogvdOTnBommxOvNqtSSt1ou6oBJFXKEuPKNJPnUdU39ve2HkeJRSk9F3aapL\nClbElMC8Lvd7X+xj2sqFYKqW4nhs+9A69n1W2469iz/1Juxr7n9azebbHoes5ZAZfZnmZ0PTGWtd\nSliBIpERqEFaAYHw7sBwIRGmbZfpWO+//z4ePvR+y+///u/Dd/+p7wKwX5T8MAQmZ46jYkCnAFCV\nPrvBoF+HtKjVGrz0jtqY4tiF31bnF+hDrUy1PE5Bn7GGOa6K8zTBkF1qQ8q/pSB0zhWCLy0YwScr\nxxkha0PKc8ZjXDe+Z8Wz3pepbZ5mfM/aZlc+pylLYB+hdttBnNtMjT0kipZ8TwjblQxjTKILyYBu\n3E6+F7FIh9IETV7MbboBl6tQUFgRqqB08Vx8Y8aMGTOePw5Dw6SsYRKyBlUrnbq8sXVpdenWm7R9\nW9WolIIRUfKYNdC2baFhptONNMynXWtvWqXHq77UKOVq2XVd0pzkajtuSxt9NtG3K4+/i7bzLG6I\np9VWpUm+LYvnNvv0jGtoTmmST8sm2FfDvE0T/lAoSMCzJVHE8oA0+hvwRVrOz309CWNMbmVSVWCi\n5J+04FSw48mTJ3jttdcAeGphfIc+/vgR/vhrXwMA9INoY3EDnklgEtF/CuA/gJc5/xK+a+QbAH4F\nwCsAfgvATzFzf+1xRn/HHh7yBXPOwQ6eEmCMSTdZU6AVxdL1fZ8m5vHyqHAMjyEF5tPMt22mw9QE\nI6IrLRnimDebTeJojo8Zxx99tvFarstWmsIUreq2sK8A2mcs+wrXqYpH47E9T/rVdbjNTK/bNPdf\nBOTCOubvSoEZTe22bXHn3j0AXhBqrSdbo6CuCwUkvnNf/epX8f77vvrZPgLzqU1yInoTwH8C4AeY\n+XsBaAB/EcDfBvB3mPnbATwC8DNPe44ZM2bMOCQ8q0leAVgS0QDgCMC7AP4sgJ8Mv/8ygL8J4Bdv\nOtDUiqdGLSDiCtJ1XVF5GcZiFaqxbzabpMnJiPPYHHweK+xUAOG6rB+p7TLnLogykCG1EGtt0dgp\n7h8DXVOrsMRNWu8+eB6mauHc32Ke34SnuY5t+e9TGuZtRsmjFbErbtMkP/R2xVNzW74Py+Nj3L9/\nH4DXMKuqKuZdohO2bbrvhSUHC2Ny0GhXPLXAZOZ3iOi/BfDHANYA/nd4E/wxM8e0k7cBvHnjsUAI\n1jY05XqK7aJBEz4bN2DoffjfDBv0g/9sFUMp4KL3avXFMMA0/kaYxQInp96U7Yc1Fkt/Ex0bGNuj\naf3lO2NBlCe/8K4V4xzPyZtoRdcJDiCbDbGg8RRiwZHlcllwUodB9Fuu6xtfrhcZFZ2qh3kdC+FF\nju1phPQ23MSsGJuXTdMUgkBSyeL3su9MdL1MjXks8Pe9ntss7CKLqewCSwOo9nO72/RQlYYLXGwm\nhXbpa9qevf0+VhuvXLzxxlt45RXvm2zbJay1WK185k5Va4ACrWjZ4913vw4A+Ojh16G0V6ycI/jm\nFsDRMqdi34RnMcnvA/hxAF8E8DkAxwD+3B77f4mIvkJEX7m8vHjaYcyYMWPGC8OzmOT/BoA/ZOYP\nAYCI/jGAHwZwj4iqoGW+BeCdqZ2Z+csAvgwAb731eZar6FTWCxtbdIyLiFG0+JthV1RP39UM30aw\nfp7Y5tiWnEy5nRzPIWWszPC4TrOU28igw1TSgdxGZreNNcdtLIen0TD3mTPPK1lg6/aO4fT4vmQz\nPJZt67ouWS+SQeK/IzCudkD4wz/8eso/B4BFGxokkkO8rGF4MfUw/xjADxHREbxJ/qMAvgLg/wDw\nF+Aj5T8N4NduOhBBmEpcsv2nyKjSF6SUgu1zxNlaW5i6kuz9PM2xp8E2mpGfFPmhTVXv2fYSyuPM\n+OQwJVTGz0n642SywjbBOOXa2HbsfXGbJvm+81HO/6hIxGMYNug6/96vVitR1awSApPgHKXePJ5F\n4493cnwHWnl313q9xvmTi/D5Et0mkNuP9vBb73VlAsz8mwD+EYB/Dk8pUvAa488C+GtE9Afw1KJf\netpzzJgxY8Yh4Zmi5Mz8NwD8jdHXXwPwg/seS01FyUd51VGz7LquWPX6vscqVGK21qYAitQwn1dk\n/Hkguh32Jb7L7w+hhuTLjl3cOGNLQAZ6prYZf97GER0Hg26bRH+bIFfOc6KylkLqN96tQSFjRWsq\nNPCu36Rq7Ov1ZZIVD44axDCus5TM783GAOivnO8mHEamjwAzIxasl34KoBSY0rRZdflmWWtTO916\n0RY+jxfhp9wVslDwtsIgY8EotzmEa3jZMZW4MH4uUkgCmHQRbYM0U6eO/SwKwItKFtgFhkXWjnLF\nvWGXr/tq7MIL0s3G4uz8DOfnTwAAZ2ePcRFqXT6pF2mf9bpDU3vWzN07Ddo20Pz07uM9nGVmxowZ\nMw4cB6JhEjhZFJyIkBVp1KHupYaCCWXnu2GAiU5hY7Feb7AO1YqsY1Q6ELyrZpK4PjmCF6B9jgnS\nsgJ7XD3HGuZ1FeNnfLKY0jC3BXkAbyGNK06NcV37kvEzl5rnbdYGuG1SfMMV6rCPJYtKCWuQcqq0\nYqRauRoEG4LAXbfB2aOHOL/wGub5+XnSNjfc5NqYw4D1KpdyUyqUkfz0meQMihQbIDHElVKotR+i\nFCrGmPS5NwM2mw02Q87FJh38ljqr9oWa/wmZs5IupUWR03EebIQ0ya8zw2cT/ZPBtuwuSRez1qZn\nK+ktMtOLWSRrtG3hg7+OuC4/3+YCepvCGAitrUMJNqVMmPfZPykXmeSiI4eu80rS+fk5zs7O0PWx\nuHDOCIJRqKpITFdYueznHHp//5dHu2f8HIjAFJMPqcBysdpKx/Y4Xao3Q3IMO8JkoOcQNLIpfmn8\ne5vA3EUrnvHJQD7PKR5xnKdyoU90GZHRw1xWDx9raFP928fa6yEJzH23V6q6NsBJKtxnxajqfC8i\nzXC9vkTXrxOVqK41AC8E77QP8MorrwAAjo+Psbrwi9ajR4+K5mg7j3WvK5sxY8aMlxgHoWESCLb3\nUn55fAQOpeb72qCu/UqxXndYBF/Dk8fneO/dDwAA3WbAe++9h4tLr2ov2iM0Cx8lbxZHRXtdmQEk\nobUuzCNFV83gKUqHe0pakDTHrtv2Jq3h0M3wbXSZbxZIU1HmgsdrbZoGdV0nTWi1WiVtRmtd9JuK\nx4r7yOPfFCW/7Xt728dn5sSA0VoXZnjTNPjwww8BeOJ5fm8Y1oZElmEDa4fUKltXCkfHPhr+5utv\n4q233gLgNUzT+31kf6BHjz7eeawHITDH2EbXiJPt448/xttvvw3Aq9aPHj1KF98uF6l2pJyIY95i\n4fcZTcSbMjCSCXbgAmvGJ4uxSU5EBU1OFoSWqZH7Fq/4tEMR5co2rMDgVCCcrQOHDB44xiYEbdg6\nVIEWVCkNRRxb+sAZi27ti2ycnBzhzh1fvKM5OYYLLSr6vkdVqbTNzmN96qucMWPGjJcMB7OUJcnt\nGNICqETZtbhSV1WVWk+oSmMYhqRhxu8AQNeVIMTm48Q83uRMF+PwmuPV8U3lBc94uXFTnn90vYwJ\n6ECZlCE1TK31wdeqfN6YsuKmyt1Za5NsqGoFreO2duTicin55RvfeDtpkq+88gra0EV2sWyEVrv7\nu3wwAnNKGI15iPGmHB0dJb/E6d072Gw2eP9D79Mcuj7tv1wu06Qcm+RFi1pZAVPr1BNom0n+NLy3\n8TXO+PRjW1EM+bs0ySXFyDlXzMkpNsghpS/eJrySEq6VythBrP0aP5+cePPav9txHwdmh1jhSFfZ\n9fEnb/8hnpx5H+Xx8TFefeAj5p/73OeS6y4W7tkFL8cTmTFjxozngAPRMAkUVhhyBA6LtKYqkU4r\nVWMI6UCbTY8qVFU/ObkTmrVHM7xBs/Arh2ziLnHFlKJSw4wr1XU1Kp1zoJdEA5jxfCB7zsdGeEBJ\nXH9ZtMoCrBDfOSBqmP6ztbkOrnM2aYWeTeDfydPTUxgzYNP5/HFZ3m2xaLFaeb7lw4cf46NgiT58\n9HGqObEPDkRglogRMqUUmuBzqKoKQ8jmcc4lGsJqtULXdelGLhaLpLb3ZthqNm3LjrDWgk3u7iij\nl89K49h3v9lPetjYthiPi6dEYbhYLJKQdM4VQlKyOV42oUmOgRAJV1pDEcHGJBWT30fFAELBDdt3\nOF749/z1V1/D0aLGBx/49+Xhw4/QBzfInZO7aEOrmaZVKSvm8eOP8O67PuI+E9dnzJgx4xZwMBpm\nYSZHk3wUSVQ2qua5JUXsBBe3Ozk5SY3DZOuHqUhm5mHmcWw2m7SiMXMRNFI7FvKY8XJgWzpkRNQu\nZedPWcNxqrDKIdQ8eNGQQdSx5Scr08e/AU9iPzry7/nx8RGqmvDkyaO0jeMYaBsS3/X4eJmi5MwM\n63JCwa44GIE5BRkll/UsHz9+nC5yuVwWDd6JKJnxy+Vyp1qCcsJ3XZcEptyvqipgJDBfjuk842kx\nNsnHi+wUA0RGyV+WRVmyVsbuiDEjJf7e932iEi6WdSEfpAw4Ol6mKPhq3aEKhXnu3buXqImSkngT\nZpN8xowZM3bEQWiYjgiXQfKv+w6nS69qkzFwoaJIA4fN5WMAwPDKMS6t/15tND5cfYzHa//bPXc/\nVVI+PT7C0cKvIk1dIRZWttaCRZTbAaKKTJ9U+LZtRTkpYGP8ShVXvFpN9xLfhpfFxHpZMGU6S9J5\nnFMy1XEbKf1lC/RIdORAC/8uDWaAUhpWe4tRLxnvfvx1AIDTawzs71991GDdhxzwswt85jOfwWuf\nuQMA+PBjTqXf7LrFaQgID0rBbHygx2xaPLh7FwCg7t3ZeawHITCBrHZL/6CTXfY4k341+U6RgFen\njTEpsl6036TSH7QtI0P6Ouu6TgKzaZp0rHF5OWYG9usmOmPGjAkUMQHxTgK+6K8VmT55YVGpRYW1\n3u8ZaUKnJ3dBHAoIbzbFex7f56Zpktm+j+vjRoFJRH8PwI8B+ICZvzd89wDArwL4AoA/AvATzPyI\n/Jl/AcCfB7AC8JeY+Z/fOAqheI1TyyRvLVd6IaxWnnPVO4t+k5n6bSPSJkerdpHdM+qpIrMxohYg\nH9C4MCwzQ80ejRkznhkaOR056iDxfZTxCWttjkkYC8dZqBpjcoCWCOfnwTLlqvAJHx8f+3MKn+fz\nphX9jwD+3Oi7nwPw68z8HQB+PfwNAP8WgO8I/30JwC/uPJIZM2bMOHDcqGEy8/9JRF8Yff3jAH4k\nfP5lAL8B34/8xwH8ffbLwP9NRPeI6A1mfvfacyCrxePujnGlGa8CZ2dnfvuuxzAMaZ+2bXG0yOXd\nxHVcUb2nNFlZLGGsYY5N8pfZ7zRjxm0ivY+DKSLoMeK9XueWuyCGHQxq7U3spmmSVirf0HHufm7f\nu3su+dP6MF8XQvA9AK+Hz28C+BOx3dvhu2sFJiFXJZJ+R4x4lPF6rbV4/NgHeeqjBay1iV/VNA3a\nRS7Mms4xUdxjiqMpC7hK3pw8Rtp+v1bQM2bMmIB/n7LZLAWbNMOrqkoCcLPZpPRHZywuL9ep7uXp\nyV3cu/sAANCd5z5KWuuUEbhcLovmaLvimVWkoE3uHf4loi8R0VeI6CuXlxfPOowZM2bMuHU8rYb5\nfjS1iegNAB+E798B8Hmx3Vvhuytg5i8D+DIAvPXWt+YSy0CqsGyMyYR0xwi9kND3PZ488VGwI+dX\nmagJ1nWdgj6xeRJQrlwxoV9qjFPZGLL1QNwuHmvGjBnPC6WpRnCFDEjBXhCOj3zLGWN7dJ2XDaYf\n8MH7HyYC+mbTp2I8RBpEsd3FAicnnkJ0evr/t/etMZJc13nfuVVd3T2vneHukiaXSy0lMAYYI4gJ\nQfYP2wmgwJEE28wLhoQAkW0BghEJiZEEghQBsf8YiGPEAYwkNmhYkBXIohwkhvjDQaQEQfTHtCMr\nlETZlkRp5YgrvnaXu7MzPd1dVffkx33Uuber+jG7M9O07gcMpqq66tapW1Wnzvuc8++za7e7DI7L\nMJ8B8F4A/9r+/4zY/kEiehrADwG4vch+CQAswooYNeraeb8mqG2RDde/AwCmkyOwlbSzwoQBFZlL\noWxS0TKQmJSmqIErSirtps7DFqdhdaW8EVHykick3APIdi/unZRechdCqJTy28fjMeC8370eRqOR\nF67GRyMcHZpMQF1VQUaVDzkUfbxWKdi8TFjRp2AcPBeI6EUAvwjDKH+PiN4H4C8A/LTd/Q9gQope\ngAkr+tmlKUlISEhYcyzjJX9Px09vb9mXAXzgOIRIR0xll118FWCNvxD9na1na6Mu0e/3vfSYK4WM\nZiW/2Jgsve6yWVqsbndl5yilUuB6QsI9gBJ1GVwEiveST0tUpSv9pnH9+nWzvaywvWNiKre2tlDk\nPf+uTtUEmdU4J+VIZPGFfeFdichVnD5rkelDANhWImKtoGyaJHTTfrOuqoAROtF6Mpkgy3p46IHv\nA2DK0DPLrJ3GNin7hGRZ5jMD8jz355lOp4E9051HthdwRUHiVrkJCQmrQyaLAKalx7Bw7bWP/H63\nbr7uK5ENBn1sDG09zIvfh729PRzZNOpXXnnFM9mDW7cCldyNd+PGjcCnsSySES4hISFhSayFhAk0\nEmNPkS+SwdAAu7JXTW3KIsu9x7yaTlH2Jr6NmcwRLXo56roJTnXqfVmWM6lR0sgs1XUXk9nr9YLg\n9slkgpzWZvoSEt6wCALKGWCtgwD13EqIe3t7wfvY97ngxqQ2HBoVfWdn15vLrvcbn3NV1jiwcZm6\n5mOlRq7NG++YYb+XA5UNFxAtNpVSKITYXtrKQVpnKIqiaQNQ9NBTZrksSyhqus/JjIE8z4O2AO5G\nmFaesxlA0gbKzIauFF2UkHDXyMn063Egoka4mTbVw86du4ALF0xAekbKhw9ubGxAqRxkxyiyAr2e\n+e3ChQt+LJmtJ1X9VZBU8oSEhIQlsTYSpnLNxlSGkq2jp2wkTJML3uzfSIG1zTk3UunBwQG+86Kp\nnzcdl9gqzCVubGw0Ae0i7xwwjiJnTC6KojWXva7roNRbnucpNTIh4R5AvmdEhF6vF7TykKmR25sm\n8HxjY9BUJQNQlzWmU6N1SifO3t5e8A7LuOrj1KddC4ZpiG/66OiquUAH0gxtO74VRQH0rfeazLoT\ntW/duoWDWyYL6LVXriO3NfP29vawt7dnxiLC4eGhn7Dz58/jgQdMOvxDDz3kS0C5GwIY84Cjx6nz\nrFNB4ISEu0VbrVpl7V1lWfqsPl3VvuvjpUuXfF64golucUNkWY7Cetmr8jBgvrJc5HGwFgwTaOId\na10aZw9M3cui1/T0mdYu66dGPzcS4bDfx+b2Js7Z6sm7u7vI7WRPxxOwNR47OwhgJvfmzZv+Rty4\nccNXP5IxnYPBwB8XZwBprZPTJyHhHsH7E0DQVe1jIyfj0hfa2b9127+He3t7KLIHAdhMHVao8qkf\nz1crUrl/h2VfeFm9bBVJM9kwExISEpbEWohIRGHptKC2pQ0uLw73cTSxweWTI/QqE1KghkP0ewXO\nbZmk/MuPXMLF3QsAgKMrB8jQZBC5ccuyxIULF3Djxg17fsLOjrGN9Hq9wBseV2l3kO2AExISjg+t\nNXpZw4rKsvSJJFprr4aXdeW92863ATTvbF0bnlCXGnXZ9FNyYYYy2URrvVIOucNaMEyAgtREt1wU\nhbdT9Ho9wNb5lDYPl+LkGNug6OPixYtmrL3zGBZGHD84OPCTVRQFrly5goMDU1aurms/qZJJAwhu\nnHMMSdE+ISHh7sC1RlY02TjT6TQojOHeO2b2prOD2/s4PLSNEG1YoGzJLRlq3Ofc/XfbVykEnlTy\nhISEhCWxFhImsQbG5mtRZk0Ztq3dHVxUlwAAh2WJg7Ex5OZZAX3bfkHKKTaGOQa1+boMqcAg69lj\njlBbNX6Q98BC7IfKcN+OcRTJxmtEBNjyclxr9N0xGYLtxrF00lLmyX3Pkn8/4aQgGwbG2x3CpoY7\nKLU1g9UTlCWjrqxmV45A2qiWRcb+ldi/9V1c/aaRQje3z2FrcxcDqxlOJxXY1qOoyg1MyqaDAmUb\nlhaN0kqxXC3/NqwHwxQqOSLm5Txcw40NbG8bO+XtgzuBCi/TIbXWOJLxWFkTO9l5/lQQOCHhzGBi\nqG0B8Eyh12vSlmXsJBF5Vf3OnTue4Q73D3DfXond+0wWEGvyXnLWWRDjKcdta1GzCEklT0hISFgS\nayFhggCVmy9MUOVckZccz5075w25+4cHYCEU9orCB5vLbnBx/nccdyUly+PEZCUkJNw9ZCsY9846\nb/j+/j4OD+8AAHjQOIGVUkHZtrKa+IIdeVb4pBPWWeAMcsiy7FgS5nowzAiNCN20jtja2vK/jyZj\njK3a7dIUfW3LfuH3y/McIDdJclJce84g19L8wsn7nZBwmiiKAtPp2K5lQXbP/v6+F4C0zjEcGo/5\nuXM7OH/ehA8ONrZM8Q37OqsMGPYNY60rCorstBXWSSp5QkJCwglg7SRM06LClmGrAeXKtg0GYGW+\nDo/vPo6bt14HANy8eRNZlnkR3KnwMaTnLnbyJKdPQsLZQamwRc10OvXq9XA4xLkdoz3u7mx5CVMp\n1ajgxQCbm0NkuXn3mUVgO+ed+ePynMtibRhmnKvttpEQpx0zfOjhS9i5ZUKCtG2RS3ljp5BeMfhJ\nZLjUnJhxMq8r00zmgYS//KhrqR6TbyEDAI888gguPXQ/AMMwXUHwq1ev4to108F7Y+sOLl9+E3b3\nrBpea0wnRsXvFVuodVPYR0bgeIa5ghluma6RHwPwEwBeZeYfsNt+FcBPApgC+CaAn2XmW/a3jwB4\nH0zN43/CzP99GUI8w8oUSNtKyDI1MVMBU3M2ze3tbWiRWqmUApQzZoTxYLGtQjLO5OxJSDgb1HUp\nyq5plOUETli4//4LeOyxtwAABhtDwApD169fx9WrVwEAR5MJNjc3kduiwXneCxijtFve7Xu+jA3z\n4wDeEW37HIAfYOa/BuDrAD5iiXscwLsB/FV7zH8kotUTNhMSEhLWEMu02f08EV2Jtn1WrD4L4B/Y\n5ScBPM3MEwBXiegFAG8D8IdzzwF4+yRpEbgentOHEt2+fRsDG16Q5zkqbvJCKVNNf6BeD67yvSyW\nMWvLFCFH8wj9SwT1vXKhCWsPIgKJB1K21y6KwmfwoJcDQyNFbm9v+siYg9GRKQFnZbNz5/Yw3DQa\nqOzXJW2VcRD7srgXNsyfA/Bpu3wJhoE6vGi3LURANHnOhont70NEXtXe39/HyMZpDTZNBhBljbDs\nkvVHoxGKXlNIo0sll8ur2DJljKdEV+hCV+/zZc7ZpkrMMze4bV3XXGQnZ75e1R68ipq0qkq1nrbp\ns8cq87jqHMrCFvE5ZcVzh6qqfEaftsV0nBN3e3u7CfkbjUDDZvtb3mJU9ddu3MT16zcxOjJOIKVy\nDDbNe88E1NZGGdgqueE5p1Z8g4g+CqAC8MljHPt+IvoCEX3BVR1JSEhIWGccW8wgop+BcQa9nZvP\nxTUAl8VuD9ttM2DmpwA8BQCXH77MXloDoFz1ddmDg+DL1ue9xqirbPknmQGg3cctU2g8zYxG4W6X\nCA1dunV7m1To+gjNjtUYnJuPF/nOeMzd0qFcjr988yTTttp+cyXQE1TJkwMtYRVkuaglkROynEB2\nlVEDLqNnc4j6jsn62dnZaTS2PMN4PPUqueMFQJjt59aB4z+jx2KYRPQOAB8C8DeYeSR+egbA7xLR\nrwF4CMBjAP54qTFd+JBohakJ0LVrjdsk5Od5jqkNL8iVwsbWpk+NRNakWeV505ccANhn+PjrCNaj\nRUiuwhGHYSAwBEp7qNuXowFVLkeXnvlw2aGqIuYtzAZEFNAkGX3XwxD0TeHV1Kyk2iacFEyUin1+\n7TPq6tDeuXMH9diwmGw4wJ0DkwFU17WPwxyPx8gywrm9XQDAuXPbnsnGZqmu4uDLYpmwok8B+JsA\nLhDRiwB+EcYr3gfwOfsiPcvMP8/MXyWi3wPwpzCq+gfYdTdLSEhIeINjGS/5e1o2//ac/X8ZwC+v\nSkhTGy9rPOZE3pmjlEKWN+Q6gy0zB20lJpOJH4uIfHN3t+7+m7xSNzZFavlidZltwHzbdUja5Lm7\nSuIbiTGk0Ry/fETWOlWAT46ZhFVgCu7Y51fXmE6nvrK6rsY4t2O0x+2NIW7vm4ZoL7/8Ml767isA\ngNsHh9jc2PLlH7e2tnA0Neay8bTqfDfesJk+sXjsLkQphVw1arhjmDUaMbtmk0p187aZyKPpJEi2\nP9dvmI7cnud5UMWkLUFfHjNTZJgahT144Uk3IRKCqcoqSjFI6u2C1+R5Y4uJmXXMlFbuT1ImwT9h\nPSDt/rXWmEwmuGNtldMx4do1E/XSzzMc2ULjV69exc0b5p0fbG7hwvlhkBZNZJkhkfdpKKV8RiCY\n4WIOY3PbPKTiGwkJCQlLYi0kTKARi2uEBtpMqORO2tOsfXA6YA3D322pcakUdmw7cikhZpmpkefG\nyLLGobS1teXPI/fJ8zzYX9bjkxKqTLM05zHbjdmgXfXsUmF13f3li00IcVDuomNOUg1OKnbCKjDv\njk2HrhhlWUJro41lWeFNXLdH+3j9dVN0R2uNi/efBwDs3ncBO9t7/j0yxztncR68zy7eEziekVsd\ntwAAGfNJREFUp3wtGGbc68Mztl5zsQxRJzNTTXP2PMPB0QiHYxPIztwI2Eop3OamuXtsw5RquFve\n3NxsneA8bxrCOwYpf3PMVDLmPM99AG6/3w8KnspwB2kGkCEQdRXaQNvyY916W7ZCvI98QPITDC5P\nSFgFzLoRhrRGXZdevT5//jzuu894v/dvaV9YeGtrqwkfUjk014HQ0CZASAFoXiLJPCSVPCEhIWFJ\nrI2E6TzjXOtWSUp6n5Ui5LbfuFIK07oK+xCLL0fmmplj1mstl936/v6tQNqTard04MSSpJQwZRyo\nS9Ps9/v+q+mcTk5C7fV6gbTqvnyD/l4wF/L8Uip29LXNa1ewO1WredVPMpUuSa/f26jr2j8zVVUF\nqZK7u7s4f96o3lyXjWaplI/VvH7zFuqasbVtJNFer+dTqqXGGqdmtqVpLsJaMEyGsTXMbK+1z44h\nABlZhqkZsO1zoRQGikCZ9FTbjnEtfXzkcsyAgNkQA+0S9+sacV4P82ymz7zJd8UCnDruzi8ZpgyR\nyvsbfh/JYF2XTMekJf2Sebd5/JsyeoPA9NBFv58/xbORAi0wJpGmHqmisGsnc/MBdMtKKYCletR2\nz8yHqHfCIUt0DN7dFcEwc24Kn5dFNuVVwl2yrN9JU9u2VWpAKqwYgSEiSNp+c//d4kAXyOzajYMS\nk4MpVG2ehzs3D/Cqy5wD4Fzek2mJ6dRV1smQZT1oNu9HWSvUlX3u8uZ90qwwmTaFOEpr8irfaG12\nQygfEuDWDbR/qWQxYPNQhceEkf3u5fNJBPZYAmtXoYjA7iXVy79gpGa/XLKJW9DQjRkyZz62YbY5\noHqDzVb7i1uWNlHJWJ0kG0uuvV6vkYSzQXCMpEVulx8VRmgHbluWDa3MhbuY1CjNkwlkX6tcSYZN\nwbIvXqJtmmxLoYR5Ti5p2+1iUHJZZoYt+jg0v8viLU2Y2OxxIe1tRbOPi7awvK71dtruHVbVGDTY\nM0ynoTlb5fXrFQ5HJrunKse+fe7m1hZ2d01b3WKwiWlZ+3s9Ho9RukaIWdEqSR63NmayYSYkJCQs\nibWTMKVKFgr2CoBTjwFSTTYPcz1HCpi1Wbh1iePYMxS1Sa9K5HUrcQ2Mzc3tznM09DfXf7B/p1OK\niyU8qV7L5VhC9VJqPmy1z8rIAKn29/v9GRpkyJWURPv9JnQjpD8Ljnffa65LkFX7zJxa9VwR2FVh\nsOFZuqXgSdcdY4Yv4mDWdfBb+wByhYL/8TMWhoktltiqFe3Gq0GOHc9I2/O2gqx0Cibm5p0wIXJO\nwhwd3UF2y0mOR/59fgAKDzz4MABgb+88Dg4nGNvsnqqqWu2WsRf9DWvDBAByLw9rb0iSL5hJSXd2\nLgD+4ScwNLoeWK0lkwx/c+tas09NXKk2Y8fL1ZV1k2VNSEPbf0eTWy1EzBjQokbJ41wcKzMqMa58\nSCQz1cIuFY8rbatu2TmvJMOTjFWGXA1szUJpRujlRaD6y3trGL4wN2TGpBAz4jYnVufcBNPU2BQX\npb2qOeeIn42u2Neuc8wzDyxS/xchrmy1yIa5ElY07K7aqpqIUVvaqsqkMmo098M9Q4PBoInXrmuv\nnqvcNEGcVlagAvsPgmYd8ACHMIV5FXtuQkJCQsJSWBsJU8JJm+DGlWZaAzlJgRHy+sYtF3+hw69H\n/FujUjeHrfCF73IQdTgUJuNZdbKhZVYq6WWhFCgl2kCiQROECxJqMAiKQseSk9iOJmG4lSzj744v\nhap+dHAw4wFuy4iSkk6v1/MOKBe47778cqx+fxg4mnp53x8vw0iUUhhs9FvP3xbxQETB9cyaMaRU\n55x+3dLGjBnH/jf3RkBoK5ob1S/PQ42hDV2S6r3GKk6mVSqSHwuKUE1tqbbpBKWuvUazvTXE7u4O\nAKDIlc8xP5pMcPu2We4VrwNZjspKkooBDev0UXnru6W1DrohLIu1YJgEguuVJr3dROQ9juai7ITM\nTEI0WvDQzT+zG1tmBy1PeHvIUpdtpC0byK233tR6NkspXo6PmadOSuaRR9fp1uU+cTaUVPHruoa2\nnkhdVSgFA3ZpbcYz3/fLjoH5423qZ1EUEfMLmaRbBoCh7VEdh2XJyIA43GrZVFdDPM/MdZu6LO8Z\nUVikJZz3JmpAUZiWtygmcBX1fFUv+Uli5VAuYkxKV9tyBK217+Nz4eL9vs3ucDjErVs3AQCvvXYD\npY1ouDM6Qi8v0OsbJpvlOdg+m13zfFwbZlLJExISEpbEWkiYIWRbiRBSVXeSp9YaIBn716hX5ks3\nX/KyA0bnXw6N+kbia+VoQCDeMjPKaRPQHUuZbV/BYRHennlSpo/941Aqb+uYBwAqD/PXuwL8myIG\nKlCDu2hmZq9GG4nSfOnLkju/9kfjKpTiWqrBe2nuZnvsqZQWpXoeS6+yo2hcG8Btj2NS5Xgy9tVL\njlEcrdwnRLca7PcNHO8rSGrBnC3jJT+5OMxVUXHts3bG0wk0s9cYNjc3MdwwHSA3hn1Pt+YM4/EY\nAFCDoE2QMABzD0rdLlVKNXyRVtaGNWGYjOZh6mCW8zycWvAmGZVEAKlub7AMZWiwPMMMvaRNMWJ5\nPnnOoLCx+K0z8L2O56I9FiYM1FeBl94H5+tw/qpq0mr3i1VCt72cTFtDmwA35d7YjJ5VqSXD1dx8\nLAAgU8JjH3mb2+4z2+XptFH95TFtyzGd81JdHS0ufAqYDfYPAv8pTIFtS3OVYV1mvViKluMwsxP1\nks9h9G1YlXzNFUp2IUFTaNTIXRgZAe7xmJY1qrqxe6ueYarjyRSjowlKV+M1q5pCPUp+pJtCxd0m\nvflIKnlCQkLCklgLCVOqjkAjJczrb+wlFytmywBtqYKV1dSPGYvgXd4ziUXSS9c4MdpU8LZ9paQQ\nxAHEKni07mLSuuYylnbi0LQuZ4OUirtiCruOkdvd9S8yunddp/s/7Bczx3Sp+vG61rqz6r1Ur9ty\n7N0+UkJ0pftkTGq/3/fbsywLzt/rDQLptU1ydc4xd7w0PcQJBtLRpLyAP2vukXPZFpM6z1Hp9l1m\nm5yntvqw8p7LaynHE99QMO8XGAwGGNg53NreQWYL7UzrGhMbazkpKxwemeZoZVkDlPmglbLSvgBP\nWZadz8ZxJPn1YJgAamvrMjYsNMt6lmHFD7288LpmX7CjLGvYWPHgYT+uF3HW5uFYWtfxkX1g5ZSJ\nUG2Ivf9y3QV+L/Lw+jnQ7dlRix4i5q79JMOcfSmJmr9mrPaXNLyG6F6VemYfeXYVn2RFTKIXLP5Q\nyI+5s6EBzYcuzvGXH/fhcGOhSi4/bEVRdNpq46D+PBsE43btJ88vrymuzSqfl7qjkPWq741kmBLF\nsIAamfPXXAGZQmEZZlEUqKxpanQw8rbOSVl5uhgKUGT+w3zMfSHyjnNKulZhnAtVciL6GBG9SkTP\nt/z2z4mIieiCXSci+nUieoGIvkxETyxNSUJCQsKaYxkJ8+MA/j2AT8iNRHQZwI8D+H9i8zthepE/\nBuCHAPyG/T8XBCDPZ5utG8zGt3GloSg02IeeMPhltUT/7XliettXqE3yWOYcqxrddRSTGgeuB+vZ\n7PwF1+K9sMKbvoSE6dZlzUJ3PZ1fZl9VKhgIIAKT9qv+OrVuFQrD8Y3ZpRaJCF0N6uTyqnPeppK3\nPR9E5IOrl/W4HhwcBOMEKnVLHGccmTBPJXfxrs480FaxKq4t0FYS0G0PnFWqqzZAu7QaOnHJawlm\nN3cM+cJTeU+htnUi6ro2ErM1vWR54SXJw6Ox1y6rUsMJvpqAjDJ/DyoWtXPnOKyaZI976CVn5s8T\n0ZWWn/4dgA8B+IzY9iSAT7Ch/Fki2iWiB5n5pbknISDLFhEdeoKdN1opsoHvUt129jUdqJCxOtnq\nje1gnm0qcUBdy3EyxMicf9WivRSNNXstXbTajbPHe5W8Q3WNPxjuf7S/GVfu274cMhAStzFkhuH1\ntDE5cz5fH5UoCHnyI+mm3UFsz52lZ3Z7mxmja782VTNmJKHqHT4jbecJzUthSJgsKjH7YQtDn7pK\n9znI7fNqqALAoN/UcZUMu03td/t0Mda2sLTR+BDjsbFHTqoJam7Cf+q6bt4tbuqmQjFQCzsp4PPP\ntYb3pmdov/9dz88iHMuGSURPArjGzF+KJvcSgO+I9RfttvkME4xaN2mDgVQQ1FFsJsg9THUdOl4k\nTzLbjm/PiqWoLimiyyZ6HKOyhDHfthjh4/WIGfvzMgeHk7APQ0f1KRdImyziOw0NzXrMPKmj2Zs0\nYtpH244tJZTmnjEQVhsCvGbhaADsPXeXDA7SG+PCC6HQLa7PUlTpGkq5j6e79nYJs5FA4w+o20dF\nL2N4j7qYdJvktgju/NIZChinR9czLBlpzMhkvGK/GM5c87zYV+m46iqULSXccXmI23f2Pb11XWJs\nw8cOjkYY9Iwk3+sXIOuUoKpCjam9VoB04+7Q4mZ0OXHlPK+ClRkmEW0A+Jcw6vixQUTvB/B+ANjb\n3b2boRISEhJOBceRMN8C4FEATrp8GMAXiehtAK4BuCz2fdhumwEzPwXgKQC4fPlhDr2hUiwSqrLd\nrFTmpZJGHXI1FOO83sqP2XxRGs+tG7tZjm11EGOF26TPbFG4wnFsmIx2KXDWtBBJOJ2nESaI2Eve\n5v3m8Iss51AIi8GyWW+3R3eRxURGRDBnEMdGBfSIkLXUceRIkg6OQahitlVDl8sVNfSTl2bbJUxn\nN4y9v7KEHUQWWFzNXUphbap2rKnMt9WG9tx5ZgVHs/xNSpRxRgyhCc1bhpY4rK0ru8pfpyoxsbUI\nnIfbrR8cjMCbZuye6iHLbARMzcJWbr3iLRrBPO2vzTS3CCszTGb+CoD73ToRfRvAW5n5OhE9A+CD\nRPQ0jLPn9kL7pYUS7R5CxuAuUEUPkDMkx0wltJ84m1dz3MLrm+voCdFVtLXLhjnbCncuLRHjmef0\n6bI8dMaFQs3YQeOBQlspzfxvGGNkz+TmXnLLx88gmjvnnCPZtKpxGMy9liVVq1gNa2MqbQU/5Pkl\nk3MvtWQwUtWNX8iimI3rdMd3fWRjOruXvZEaREow/fb56Vb3ycaPNr9Lp08bfbEwUFWVqDXZxGRK\n1V0enw3gA4M12MevAqbdhKO/yArPJMuqbMxyugarpmIUM6Oy771kcF2MdBXVfJmwok8B+EMA309E\nLxLR++bs/gcAvgXgBQC/BeAfL01JQkJCwppjGS/5exb8fkUsM4APrE4Go7KlzGQTMum0kWp3TTUQ\nqCCyMnsF+R1oIgdmJYu2rIfo2paWStvW79bpM4+WZWlrU/HMSuxl9V4TuVUcGzt3SIwRSpg6kEql\nFw5CypS/iWUmn/UR0tBdu7BLvQbCcCg5Z11zJ72yiwLX25rQtUmozfHtGkZXpk1bplHXc+qq+TvJ\ns6vcnEOv1y41umOlBFqv0FURMN1RXfiPnE85l7Liea3Ym1qIbPiTfbbqusZ4bHjDVFVe2q3r2p+D\nKfRv1nWN2kmYkUi4qlksxlpk+uQqx1ZmKpKMy0YElzf16OgIRzYVqq5rH2c2GAyQZQDr5kbIG5Tl\nswzDvQhZlN1gDgpVJVcAI35piAib/aGnp2pR/QmNasFa+8nWGqghVf9QTamtetenph6mHBeKZuxe\nspaxpz+2vQn1rFZ1WLlFXlvLy1bWVeDx1MyYuEIGmsOKPoJJ+uIf0YMqrzl8qRVIt9hA2XheJ7q9\nq6Nk+IFtb8ZkM2vPlB+JQm2I+2cLMAtbdxPigiAiw4+rydhkAeiIOTOHDLDVPCC3V7PXKeGfH8C3\nM1ZKmeuqw2fd/ebD92SyHIn7BfNs1oK5c0u2Xdd1AEDFzeAZslZzUaYy9CzzIyb//gIAEzdzDkLl\nbKJ1jeHQtnnR2sf01nUNFkydAOQt7wAw3765DFLxjYSEhIQlsRYSZpZluHjxIoBZVdPl60pxvqqq\noN+2ce6EpdPccpYtLpAhJYeuuK1Y1SIirxJoraFbMlCkV5kBIYVRIJ7EEqayNGSC1pj+OPMGItOn\nU8IU/7mjsdUiNX+RSjy7b/d4bV5KEhJ+oA7PkQa6kw3CJnBd6nU4WHjPu8wt0plxL9BlHlrVDNMc\n2/7cyDx/cdSCMRdR30XD8RBL3qETd7aeZXyMhCy3GM/FqXjJTwLMDFe2stcrgpS0vGezEXoK2zub\nAEL7kVIqqEITt1gYjUZ+LAfn1ZRBvt5jl3WrTZJeAKjFOf344gYpBe9t1MzBdYU3qW5VUTkKV/Ev\nawdd8XXG6LJnLlNLUWF+oG+Xx3TVl6dzfztuV0x81xgxzfPsnebgJWiJfo+ZnNwuf4vP3UbnovvX\n9fuswDCrksdjNSsLMtB49mM8j5Gv0i8IaIt0aW8hLRlmXO0qMMsEY3f7J9qEkYW0Lr1nQkJCwvc4\n1kLC1FpjNDoEgCAGS6qdRVFge9s4hobDYXBsWZa+7JNL3ndjbW9vt56vrmuRXtk4QKbTaau01CZB\nZNYFRzpyALTky4I5kILrmr2jxnwdK3GMdRpEAcCNY2rWEyrHcudUHaoNAFTWieN+C9ByzW0SUCY9\n4+J6w7kS87Ji1EDo1bfLLc6tLsnLzdEyjoouybOLZnnOeRJKl9f7uGprt8YTmw5E4PldS5izx8XP\nxt2o4fGxcRk6eZ/b3ln32zLmiriObtv552EtGCYRoKxNTdcljo6OAACj0UjUEhxiw3aS2xj2m+T8\nqsJkfNT096jroEBALx/YczQMJlcZcpUB1gkvX/J6ILyDcyaYmeFCZYPfxLOnIbsssmekJtSi8qET\nPHOz56t64JC22EsejhLCn6fWvgVvplSThxsX9rX7+2K4Hc+kiwQy3kt55tVscHeLLvXLUyNe+DYT\nBWF2zpdhoMvS0oUuNVY+t6ucq8tEIsdtVuYzTJkdtYwZYVXm2WZnbrtm+czPu6bY/Cb9E0HX0mMw\nzKSSJyQkJCyJtZAwAfbxYUpl0NqIfpNJI4JPp2O49K+jo8NAhR6NRt65U1WNqpnnOSZjWxdPtBFw\nOa1tlVPC2n4KxldtqYy+2i6Os6sbna6bFC0j+ZrzVTboVlayZtWi6lTh19FLweJ8Hm3RACLuMpZU\nYqeP+6Wk0Azh5BAvXbhufITW8ZijdMglPJnh9nbH1DzM8yovU95NblM86xmX+3XN56pYRSpbKCEu\neR7zbLbuNXcMd6qT0hCWVa1jM0jsXJNo9muXMIP3dAUnFd2N7eFegYheA3AI4PpZ0yJwAYmeRVg3\nmhI987Fu9ADrQ9ObmPniop3WgmECABF9gZnfetZ0OCR6FmPdaEr0zMe60QOsJ03zkGyYCQkJCUsi\nMcyEhISEJbFODPOpsyYgQqJnMdaNpkTPfKwbPcB60tSJtbFhJiQkJKw71knCTEhISFhrnDnDJKJ3\nENHXiOgFIvrwGdFwmYj+FxH9KRF9lYj+qd3+S0R0jYies3/vOkWavk1EX7Hn/YLddh8RfY6IvmH/\n750SLd8v5uA5Itonol847fkhoo8R0atE9LzY1jonZPDr9rn6MhE9cUr0/CoR/bk95+8T0a7dfoWI\njsRc/eYp0dN5j4joI3Z+vkZEf/uU6Pm0oOXbRPSc3X7i83NP4AI4z+IPJir8mwDeDKAA8CUAj58B\nHQ8CeMIubwP4OoDHAfwSgH9xRnPzbQAXom3/BsCH7fKHAfzKGd2zlwG86bTnB8CPAXgCwPOL5gTA\nuwD8N5hI+B8G8EenRM+PA8jt8q8Ieq7I/U5xflrvkX2+vwSgD+BR+x5mJ01P9Pu/BfCvTmt+7sXf\nWUuYbwPwAjN/i5mnAJ4G8ORpE8HMLzHzF+3yHQB/BtNPfd3wJIDfscu/A+DvnAENbwfwTWb+i9M+\nMTN/HsDNaHPXnDwJ4BNs8CyAXSJ68KTpYebPMvuS48/CdE49FXTMTxeeBPA0M0+Y+SpMH663nRY9\nZFJzfhrAp+7lOU8aZ80wLwH4jlh/EWfMqIjoCoAfBPBHdtMHrXr1sdNSgS0YwGeJ6E/I9HAHgAe4\n6cL5MoAHTpEeh3cjfMjPan4cuuZkHZ6tn4ORch0eJaL/S0T/m4h+9BTpaLtHZz0/PwrgFWb+hth2\nVvOzNM6aYa4ViGgLwH8B8AvMvA/gN2D6sP91AC/BqBCnhR9h5icAvBPAB4jox+SPbPSYUw1xIKIC\nwE8B+M9201nOzwzOYk66QEQfhemc80m76SUAjzDzDwL4ZwB+l4h2ToGUtbpHAu9B+OE9q/lZCWfN\nMK8BuCzWH7bbTh1E1INhlp9k5v8KAMz8CjPXbIoL/hbuscoyD8x8zf5/FcDv23O/4tRK+//V06LH\n4p0AvsjMr1jazmx+BLrm5MyeLSL6GQA/AeAfWiYOq/resMt/AmMz/CsnTcuce3SW85MD+HsAPi3o\nPJP5WRVnzTD/D4DHiOhRK728G8Azp02Etaf8NoA/Y+ZfE9ulzevvAng+PvaE6Nkkom23DONIeB5m\nbt5rd3svgM+cBj0CgVRwVvMToWtOngHwj6y3/IcB3Baq+4mBiN4B4EMAfoqZR2L7RbJ9SIjozQAe\nA/CtU6Cn6x49A+DdRNQnokctPX980vRY/C0Af87MLwo6z2R+VsZZe51gvJlfh/mifPSMaPgRGFXu\nywCes3/vAvCfAHzFbn8GwIOnRM+bYTyYXwLwVTcvAM4D+J8AvgHgfwC47xTnaBPADQDnxLZTnR8Y\nZv0SgBLG5va+rjmB8Y7/B/tcfQXAW0+JnhdgbIPuOfpNu+/ft/fyOQBfBPCTp0RP5z0C8FE7P18D\n8M7ToMdu/ziAn4/2PfH5uRd/KdMnISEhYUmctUqekJCQ8IZBYpgJCQkJSyIxzISEhIQlkRhmQkJC\nwpJIDDMhISFhSSSGmZCQkLAkEsNMSEhIWBKJYSYkJCQsif8Pehco0+sNyXUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f193d6a4748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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UswrPtUTqmWr2Kj9TeQZcBuApphLz41KDxNxVvWIDXz+vnDnqx3rSh5CbOi0u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\nvl0nYVjSlGXnjmQEZGRkIL8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VLHAHwLE9Y9dwE2SBGRn3O3JGQEbGnDjcyk245q5s9CvH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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f193b423b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Fad3/4rIzqfqefY6sr9gvgdOpebI1L1MUNKyhY4IIpZSX3rvZVP2suVTF65Re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\nX4RMmQAA/wUx3OGmeQbe3wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f193bdd46d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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QeqyPGHaD5dqIUiBODaRUnqapUQspSlwiWmddE03ayJNlmUGolZv0q2mZrjeo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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f193830c2b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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LSrmKiKytKCfzKLAw3/PoP/+erdCZK/dFLuCOSHkWQs338lbZsNi9pqrM1Sce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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f192066d908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Ww+FwON44VKFcBiLyd2KM7xORj4nI3wohvE9EPi8i34gx3i8i35j87XA4HI43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\neuSVV14pHYP0CK8PK2GHapllqI0Wm+WKjaTyVuJ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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f19382a2dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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VqWCcfcL2sZwCWqUtKT1//FnHuNK6lx0v2eeTrbJH1trcMoTymDOGqlQ8n3H/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\nY6Hwl5DD4Vgo/j9W1Wv1LzSg2QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1905e57860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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MTQlTW5FwQLWuFPSJXStJkntK0seWJElJUqoZ6SoOtY4iDoT2jYhWoUX52tat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\nmSNpdMY/dAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f19041e41d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(10):\n",
    "    show_right()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Mix with other features"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "l = 6\n",
    "color = False\n",
    "train_reduc, val_reduc, test_reduc = split.load_images(train_ids, val_ids, test_ids, l, color)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "train_reduc = train_reduc.reshape((4000, l*l))\n",
    "val_reduc = val_reduc.reshape((1000, l*l))\n",
    "test_reduc = test_reduc.reshape((1000, l*l))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'154812325'"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train_ids[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f1904027cf8>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAPgAAAD8CAYAAABaQGkdAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAyWnezh6EGr2AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f190405fa20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(train_reduc[0].reshape(6, 6), interpolation='none')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.20000000000000001"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model = sklearn.linear_model.LogisticRegression(penalty='l2', C=1e10)\n",
    "model.fit(train_reduc, train_labels)\n",
    "predictions = model.predict(val_reduc)\n",
    "error = (val_labels!=predictions).sum()/len(val_labels)\n",
    "error"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "reduc_proba_val = model.predict_proba(val_reduc)[:,0]\n",
    "reduc_proba_test = model.predict_proba(test_reduc)[:,0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f18fcb8d470>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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CTxNoIu3/zDPF+9vtEPI+HwTYGWeIYwg8HgjSW2+VZ0+L4rqzsqDpGxGKp52G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\n4W7BggULBQhLuFuwYMFCAeL/AyQOb9kBdUymAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f19040371d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def colorize(labels):\n",
    "    return ['b' if l==1 else 'r' for l in labels]\n",
    "plt.scatter(cnn_proba_val, reduc_proba_val, c=colorize(val_labels))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "N_val = len(reduc_proba_val)\n",
    "val_mix = np.zeros((N_val, 2))\n",
    "val_mix[:, 0] = cnn_proba_val\n",
    "val_mix[:, 1] = reduc_proba_val\n",
    "N_test = len(reduc_proba_test)\n",
    "test_mix = np.zeros((N_test, 2))\n",
    "test_mix[:, 0] = cnn_proba_test\n",
    "test_mix[:, 1] = reduc_proba_test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.088999999999999996"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model = sklearn.linear_model.LogisticRegression(penalty='l2', C=1e10)\n",
    "model.fit(val_mix, val_labels)\n",
    "predictions = model.predict(test_mix)\n",
    "error = (test_labels!=predictions).sum()/len(test_labels)\n",
    "error"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "probas = model.predict_proba(test_mix)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Confidence"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "confidence = np.max(probas, axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([   4.,    0.,    3.,    2.,    3.,    1.,    0.,    0.,    3.,\n",
       "           4.,    2.,    1.,    3.,    4.,    1.,    4.,    4.,    0.,\n",
       "           1.,    1.,    0.,    3.,    4.,    1.,    2.,    2.,    2.,\n",
       "           2.,    1.,    1.,    2.,    3.,    2.,    0.,    1.,    0.,\n",
       "           2.,    1.,    1.,    1.,    2.,    3.,    1.,    2.,    3.,\n",
       "           0.,    0.,    0.,    0.,    2.,    1.,    4.,    4.,    2.,\n",
       "           2.,    2.,    1.,    3.,    1.,    2.,    2.,    2.,    3.,\n",
       "           5.,    1.,    1.,    6.,    5.,    4.,    3.,    2.,    3.,\n",
       "           4.,    8.,    3.,   11.,    4.,    8.,    5.,    7.,    8.,\n",
       "          14.,    5.,   11.,    8.,   11.,   16.,   19.,   18.,   27.,\n",
       "          18.,   27.,   26.,   42.,   58.,   73.,  112.,  104.,  112.,   97.]),\n",
       " array([ 0.50066237,  0.5055572 ,  0.51045204,  0.51534688,  0.52024171,\n",
       "         0.52513655,  0.53003139,  0.53492622,  0.53982106,  0.5447159 ,\n",
       "         0.54961073,  0.55450557,  0.55940041,  0.56429524,  0.56919008,\n",
       "         0.57408491,  0.57897975,  0.58387459,  0.58876942,  0.59366426,\n",
       "         0.5985591 ,  0.60345393,  0.60834877,  0.61324361,  0.61813844,\n",
       "         0.62303328,  0.62792812,  0.63282295,  0.63771779,  0.64261262,\n",
       "         0.64750746,  0.6524023 ,  0.65729713,  0.66219197,  0.66708681,\n",
       "         0.67198164,  0.67687648,  0.68177132,  0.68666615,  0.69156099,\n",
       "         0.69645583,  0.70135066,  0.7062455 ,  0.71114033,  0.71603517,\n",
       "         0.72093001,  0.72582484,  0.73071968,  0.73561452,  0.74050935,\n",
       "         0.74540419,  0.75029903,  0.75519386,  0.7600887 ,  0.76498354,\n",
       "         0.76987837,  0.77477321,  0.77966804,  0.78456288,  0.78945772,\n",
       "         0.79435255,  0.79924739,  0.80414223,  0.80903706,  0.8139319 ,\n",
       "         0.81882674,  0.82372157,  0.82861641,  0.83351125,  0.83840608,\n",
       "         0.84330092,  0.84819575,  0.85309059,  0.85798543,  0.86288026,\n",
       "         0.8677751 ,  0.87266994,  0.87756477,  0.88245961,  0.88735445,\n",
       "         0.89224928,  0.89714412,  0.90203896,  0.90693379,  0.91182863,\n",
       "         0.91672346,  0.9216183 ,  0.92651314,  0.93140797,  0.93630281,\n",
       "         0.94119765,  0.94609248,  0.95098732,  0.95588216,  0.96077699,\n",
       "         0.96567183,  0.97056666,  0.9754615 ,  0.98035634,  0.98525117,\n",
       "         0.99014601]),\n",
       " <a list of 100 Patch objects>)"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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04KWq2rfWg8zEvxlbK0yrkOQPgcWq2gV8IMl5wCsMLm5cNrWCx2TIdn8B+OUkjzL4KPs7\nVfXt6VXd35DthkEg3Fzd7Qmzbsh2f4TB8NyHGFyYvWzW2z9ku88A/ihJAfcAV06t4DFKchODtm3s\nrrtcDbwOoKr+nMF1mHOAPcB3gctHOs+M/41IklYxK0M3kqQRGfSS1DiDXpIaZ9BLUuMMeklqnEEv\nSY0z6CWpcQa9JDXufwHF9tscaQqU9QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f18fcbc3470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(confidence, bins=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/salon/.virtualenvs/solar/lib/python3.5/site-packages/ipykernel_launcher.py:5: RuntimeWarning: invalid value encountered in true_divide\n",
      "  \"\"\"\n"
     ]
    }
   ],
   "source": [
    "N = len(confidence)\n",
    "confidence_order = np.argsort(-confidence)\n",
    "sorted_error = (predictions[confidence_order]!=test_labels[confidence_order])\n",
    "nb_errors = np.cumsum(sorted_error)\n",
    "error_rate = nb_errors/np.arange(N_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x7f1905e4c9b0>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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gpVX8dcMeGlrNRuunfSsiRsh+k/1jELfjzWSKBR51zq0wsx8DRc65WcAjwBNm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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f19040bbf28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(np.arange(N)/N, error_rate)\n",
    "plt.xlabel('% classified')\n",
    "plt.ylabel('% error')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def custom_convolution(a, kernel):\n",
    "    n = len(a)\n",
    "    k = int((len(kernel)-1)/2)\n",
    "    \n",
    "    conv = np.zeros(n)\n",
    "    for i in range(n):\n",
    "        imin_kernel = max(0, k-i)\n",
    "        imax_kernel = min(2*k+1, k+n-i)\n",
    "        imin_a = max(0, i-k)\n",
    "        imax_a = min(n, k+1+i)\n",
    "        conv[i] = (a[imin_a:imax_a]*kernel[imin_kernel:imax_kernel]).sum() / (kernel[imin_kernel:imax_kernel].sum())\n",
    "    \n",
    "    return conv"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x7f192066d0f0>"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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M4tWSOrr6BgB4dkcln39sK4tmJfM/X7iA/AxbiDYZLCgYv2083Ehnn4urlp7a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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f192064b400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sigma = 10.\n",
    "kernel_size = int(math.floor(3.5*sigma))\n",
    "kernel = np.exp(-np.power(np.arange(2*kernel_size+1)-kernel_size, 2.)/(2*np.power(sigma, 2.)))\n",
    "kernel /= kernel.sum()\n",
    "\n",
    "smooth_error = custom_convolution(sorted_error, kernel)\n",
    "plt.figure()\n",
    "plt.plot(smooth_error)\n",
    "plt.xlabel('confidence rank')\n",
    "plt.ylabel('% error')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
